Question 125574
{{{1/2}}}(x-5) = {{{x/4}}}
:
The first thing you want to do here is get rid of the denominators
multiply equation by a multiple of both denominators, that would 4
4*{{{1/2}}}(x-5) = 4*{{{x/4}}}
Cancel out the denominators and you have:
2(x-5) = 1x
:
2x - 10 = x; multiply what's inside the brackets
:
2x - x = +10; basic algebra, add 10 to both sides, subtract x from both side
:
x = 10
:
:
Check in original equation; substitute 10 for x
{{{1/2}}}(10-5) = {{{10/4}}}
{{{1/2}}}(5) = {{{10/4}}}
2.5 = 2.5